%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYO614-1 : TPTP v9.3.1. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:48:04 PM UTC 2026
% Result : Unsatisfiable 0.15s 5.44s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of clauses : 30 ( 8 unt; 2 nHn; 21 RR)
% Number of literals : 58 ( 0 equ; 39 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 58 ( 21 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(sos_02,axiom,
( ~ le(max(X1,X2),X3)
| le(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_02) ).
cnf(sos_03,axiom,
( ~ le(max(X1,X2),X3)
| le(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_03) ).
cnf(sos_01,axiom,
le(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_01) ).
cnf(sos_06,axiom,
( ~ le(s(X1),X2)
| ~ eq(f(X2),a1)
| ~ eq(f(X1),a1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_06) ).
cnf(sos_05,axiom,
( ~ le(s(X1),X2)
| ~ eq(f(X2),a0)
| ~ eq(f(X1),a0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_05) ).
cnf(sos_04,axiom,
( eq(f(X1),a1)
| eq(f(X1),a0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_04) ).
cnf(c_0_6,plain,
( ~ le(max(X1,X2),X3)
| le(X1,X3) ),
inference(fof_simplification,[status(thm)],[sos_02]) ).
cnf(c_0_7,plain,
( ~ le(max(X1,X2),X3)
| le(X2,X3) ),
inference(fof_simplification,[status(thm)],[sos_03]) ).
cnf(c_0_8,plain,
( ~ le(max(X1,X2),X3)
| le(X1,X3) ),
c_0_6 ).
cnf(c_0_9,axiom,
le(X1,X1),
sos_01 ).
cnf(c_0_10,plain,
( ~ le(s(X1),X2)
| ~ eq(f(X2),a1)
| ~ eq(f(X1),a1) ),
inference(fof_simplification,[status(thm)],[sos_06]) ).
cnf(c_0_11,plain,
( ~ le(max(X1,X2),X3)
| le(X2,X3) ),
c_0_7 ).
cnf(c_0_12,plain,
( ~ le(s(X1),X2)
| ~ eq(f(X2),a0)
| ~ eq(f(X1),a0) ),
inference(fof_simplification,[status(thm)],[sos_05]) ).
cnf(c_0_13,plain,
le(X1,max(X1,X2)),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_14,plain,
( ~ le(s(X1),X2)
| ~ eq(f(X2),a1)
| ~ eq(f(X1),a1) ),
c_0_10 ).
cnf(c_0_15,plain,
le(X1,max(X2,X1)),
inference(spm,[status(thm)],[c_0_11,c_0_9]) ).
cnf(c_0_16,plain,
( ~ le(s(X1),X2)
| ~ eq(f(X2),a0)
| ~ eq(f(X1),a0) ),
c_0_12 ).
cnf(c_0_17,plain,
le(X1,max(max(X2,X1),X3)),
inference(spm,[status(thm)],[c_0_11,c_0_13]) ).
cnf(c_0_18,plain,
( ~ eq(f(X2),a1)
| ~ eq(f(max(X1,s(X2))),a1) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_19,axiom,
( eq(f(X1),a1)
| eq(f(X1),a0) ),
sos_04 ).
cnf(c_0_20,plain,
( ~ eq(f(X2),a0)
| ~ eq(f(max(max(X1,s(X2)),X3)),a0) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_21,plain,
( ~ eq(f(X2),a1)
| eq(f(max(X1,s(X2))),a0) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_22,plain,
( ~ eq(f(X1),a1)
| ~ eq(f(s(X1)),a1) ),
inference(spm,[status(thm)],[c_0_14,c_0_9]) ).
cnf(c_0_23,plain,
( ~ eq(f(X2),a1)
| ~ eq(f(X1),a0) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_24,plain,
( ~ eq(f(X1),a1)
| eq(f(s(X1)),a0) ),
inference(spm,[status(thm)],[c_0_22,c_0_19]) ).
cnf(c_0_25,plain,
( ~ eq(f(X2),a1)
| ~ eq(f(X1),a1) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_26,plain,
~ eq(f(X1),a1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_19]),c_0_23]) ).
cnf(c_0_27,plain,
( ~ eq(f(X1),a0)
| ~ eq(f(max(s(X1),X2)),a0) ),
inference(spm,[status(thm)],[c_0_16,c_0_13]) ).
cnf(c_0_28,plain,
eq(f(X1),a0),
inference(sr,[status(thm)],[c_0_19,c_0_26]) ).
cnf(c_0_29,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_28]),c_0_28])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO614-1 : TPTP v9.3.1. Released v7.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/5.38 % Computer : n014.cluster.edu
% 0.10/5.38 % Model : x86_64 x86_64
% 0.10/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.38 % Memory : 8046.5625MB
% 0.10/5.38 % OS : Linux 6.8.0-71-generic
% 0.10/5.38 % CPULimit : 300
% 0.10/5.38 % WCLimit : 300
% 0.10/5.38 % DateTime : Mon Sep 21 12:04:42 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.10/5.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/5.42 Running first-order theorem proving
% 0.15/5.42 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/5.44 % Version: 3.5.1
% 0.15/5.44 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.15/5.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/5.44 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.15/5.44 % Starting new_bool_3 with 300s (1) cores
% 0.15/5.44 % Starting new_bool_1 with 300s (1) cores
% 0.15/5.44 % Starting sh5l with 300s (1) cores
% 0.15/5.44 % G-E--_302_C18_F1_URBAN_RG_S04BN with pid 4014350 completed with status 0
% 0.15/5.44 % Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.15/5.44 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.15/5.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/5.44 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.15/5.44 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/5.44 % No SInE strategy applied
% 0.15/5.44 % Search class: FGHNF-FFSF21-SFFFFFNN
% 0.15/5.44 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/5.44 % Starting SubtermCWHack with 136s (1) cores
% 0.15/5.44 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.15/5.44 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S032N with 136s (1) cores
% 0.15/5.44 % Starting new_bool_3 with 136s (1) cores
% 0.15/5.44 % Starting new_bool_1 with 136s (1) cores
% 0.15/5.44 % SubtermCWHack with pid 4014356 completed with status 0
% 0.15/5.44 % Result found by SubtermCWHack
% 0.15/5.44 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.15/5.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/5.44 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.15/5.44 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/5.44 % No SInE strategy applied
% 0.15/5.44 % Search class: FGHNF-FFSF21-SFFFFFNN
% 0.15/5.44 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/5.44 % Starting SubtermCWHack with 136s (1) cores
% 0.15/5.44 % Preprocessing time : 0.001 s
% 0.15/5.44
% 0.15/5.44 % Proof found!
% 0.15/5.44 % SZS status Unsatisfiable
% 0.15/5.44 % SZS output start CNFRefutation
% See solution above
% 0.15/5.44 % Parsed axioms : 6
% 0.15/5.44 % Removed by relevancy pruning/SinE : 0
% 0.15/5.44 % Initial clauses : 6
% 0.15/5.44 % Removed in clause preprocessing : 0
% 0.15/5.44 % Initial clauses in saturation : 6
% 0.15/5.44 % Processed clauses : 56
% 0.15/5.44 % ...of these trivial : 0
% 0.15/5.44 % ...subsumed : 4
% 0.15/5.44 % ...remaining for further processing : 52
% 0.15/5.44 % Other redundant clauses eliminated : 0
% 0.15/5.44 % Clauses deleted for lack of memory : 0
% 0.15/5.44 % Backward-subsumed : 9
% 0.15/5.44 % Backward-rewritten : 7
% 0.15/5.44 % Generated clauses : 137
% 0.15/5.44 % ...of the previous two non-redundant : 137
% 0.15/5.44 % ...aggressively subsumed : 0
% 0.15/5.44 % Contextual simplify-reflections : 1
% 0.15/5.44 % Paramodulations : 136
% 0.15/5.44 % Factorizations : 0
% 0.15/5.44 % NegExts : 0
% 0.15/5.44 % Equation resolutions : 0
% 0.15/5.44 % Disequality decompositions : 0
% 0.15/5.44 % Total rewrite steps : 4
% 0.15/5.44 % ...of those cached : 0
% 0.15/5.44 % Propositional unsat checks : 0
% 0.15/5.44 % Propositional check models : 0
% 0.15/5.44 % Propositional check unsatisfiable : 0
% 0.15/5.44 % Propositional clauses : 0
% 0.15/5.44 % Propositional clauses after purity: 0
% 0.15/5.44 % Propositional unsat core size : 0
% 0.15/5.44 % Propositional preprocessing time : 0.000
% 0.15/5.44 % Propositional encoding time : 0.000
% 0.15/5.44 % Propositional solver time : 0.000
% 0.15/5.44 % Success case prop preproc time : 0.000
% 0.15/5.44 % Success case prop encoding time : 0.000
% 0.15/5.44 % Success case prop solver time : 0.000
% 0.15/5.44 % Current number of processed clauses : 35
% 0.15/5.44 % Positive orientable unit clauses : 32
% 0.15/5.44 % Positive unorientable unit clauses: 0
% 0.15/5.44 % Negative unit clauses : 1
% 0.15/5.44 % Non-unit-clauses : 2
% 0.15/5.44 % Current number of unprocessed clauses: 86
% 0.15/5.44 % ...number of literals in the above : 140
% 0.15/5.44 % Current number of archived formulas : 0
% 0.15/5.44 % Current number of archived clauses : 17
% 0.15/5.44 % Clause-clause subsumption calls (NU) : 49
% 0.15/5.44 % Rec. Clause-clause subsumption calls : 41
% 0.15/5.44 % Non-unit clause-clause subsumptions : 10
% 0.15/5.44 % Unit Clause-clause subsumption calls : 62
% 0.15/5.44 % Rewrite failures with RHS unbound : 0
% 0.15/5.44 % BW rewrite match attempts : 193
% 0.15/5.44 % BW rewrite match successes : 9
% 0.15/5.44 % Condensation attempts : 0
% 0.15/5.44 % Condensation successes : 0
% 0.15/5.44 % Termbank termtop insertions : 2216
% 0.15/5.44 % Search garbage collected termcells : 16
% 0.15/5.44
% 0.15/5.44 % -------------------------------------------------
% 0.15/5.44 % User time : 0.001 s
% 0.15/5.44 % System time : 0.005 s
% 0.15/5.44 % Total time : 0.006 s
% 0.15/5.44 % Maximum resident set size: 3632 pages
% 0.15/5.44
% 0.15/5.44 % -------------------------------------------------
% 0.15/5.44 % User time : 0.009 s
% 0.15/5.44 % System time : 0.018 s
% 0.15/5.44 % Total time : 0.027 s
% 0.15/5.44 % Maximum resident set size: 4864 pages
% 0.15/5.44 % E exiting
%------------------------------------------------------------------------------